Online Encyclopedia
Make a correction
Your email address will not appear on the site. Note, comments may take some time to be approved.
Back to article:
XP1XP2XP3
Your email:
Article name:
Article content:
XP1XP2XP3... =EPX 11x x 33.. . 22 and then P is the distribution function of objects into parcels (pi 1pz2pa3•••), the distributions being such as to have the specification (sils,2°2s3a...). Multiplying out P so as to exhibit it as a sum of monomials, we get a result XP1"1XP2"2XP"3 3 ... = EEB(xt11Xt22.. . 3 el a2 a3 indicating that for distributions of specification (s°ls, 2s83...) there are 0 ways of distributing n objects denoted by (a11x22As3...) amongst n parcels denoted by (pilp22p;3...), one object in each parcel. Now observe that as before we may interchange parcel and object, and that this operation leaves the specification of the distribution unchanged. Hence the number of distributions must be the same, and if XPt"lxP"22Px"3a... =...+8(~11~22~a3...)xslx 12xe3... j ...